\newproblem{lay:6_8_11}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 6.8.11}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Find the third-order Fourier approximation to $\sin^2(t)$ without performing any integration calculations.
}{
   % Solution
	We know by trigonometric relationships that
	\begin{center}
		$\sin^2(t)=\frac{1}{2}-\frac{1}{2}\cos(2t)$
	\end{center}
	This is in fact the Fourier approximation of order 2, in this case, the approximation is exact.
}
\useproblem{lay:6_8_11}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}

